9y-(4y-6)=17+2(3y+8)

Solution for 9y-(4y-6)=17+2(3y+8) equation:

Simplifying
9y + -1(4y + -6) = 17 + 2(3y + 8)

Reorder the terms:
9y + -1(-6 + 4y) = 17 + 2(3y + 8)
9y + (-6 * -1 + 4y * -1) = 17 + 2(3y + 8)
9y + (6 + -4y) = 17 + 2(3y + 8)

Reorder the terms:
6 + 9y + -4y = 17 + 2(3y + 8)

Combine like terms: 9y + -4y = 5y
6 + 5y = 17 + 2(3y + 8)

Reorder the terms:
6 + 5y = 17 + 2(8 + 3y)
6 + 5y = 17 + (8 * 2 + 3y * 2)
6 + 5y = 17 + (16 + 6y)

Combine like terms: 17 + 16 = 33
6 + 5y = 33 + 6y

Solving
6 + 5y = 33 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
6 + 5y + -6y = 33 + 6y + -6y

Combine like terms: 5y + -6y = -1y
6 + -1y = 33 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -1y = 33 + 0
6 + -1y = 33

Add '-6' to each side of the equation.
6 + -6 + -1y = 33 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 33 + -6
-1y = 33 + -6

Combine like terms: 33 + -6 = 27
-1y = 27

Divide each side by '-1'.
y = -27

Simplifying
y = -27